The scenario that could be modelled with an exponential function would be; D) when Tim adds $10 to his savings account each week.
Noted that a continuous compounding function is an exponential function. So, we need to find the situation where the principal amount is invested for an infinitely long time.
A.) It is known that the amount is invested and a certificate of deposit is taken the amount will be invested for a fixed period of time. so this is not a continuous compound function.
B.) The amount put into the account and taken out of the account varies for each term. Thus, this is not a continuous function.
C.) As in Jaylon's account the money is reduced by $125 every month, therefore, at a certain point, it will become zero therefore, this is not a continuous compound function.
D.) Since Tim adds $10 to his saving account every month, and there is no time specified, also the account will be always positive therefore, it is continuous compound function.
Hence, the scenario that could be modelled with an exponential function is D.
Learn more about Function:
brainly.com/question/5245372
#SPJ1
Solve x^2+y^2-4x-6y+4=0 intersects the straightline y=x
Answer: the points of intersection are:
((5 + sqrt(17)) / 2, (5 + sqrt(17)) / 2) and ((5 - sqrt(17)) / 2, (5 - sqrt(17)) / 2)
Step-by-step explanation: A substitution of y=x in the equation can assist in determining the point of intersection with the line y=x.
2x^2-10x+4=0
A quadratic equation 2x squared minus 10x plus 4 equals zero.
The equation is x squared minus 5x plus 2 equals zero.
By applying the quadratic equation, we obtain:
One possible paraphrasing of this mathematical expression could be: The value of x can be found by adding or subtracting the square root of the difference between 5 squared and 412, and then dividing the result by 2.
One possible paraphrase: The value of x can be found by taking the solutions of the equation x^2 - 5x + 17/4 = 0, which are x = (5 + sqrt(17))/2 and x = (5- sqrt(17))/2.
Thus, the values on the x-axis where the points intersect can be identified as:
Two expressions that give the value of x are: x equals half the sum of 5 and the square root of 17, and x equals half the difference between 5 and the square root of 17.
By inserting these x-values into the equation y=x, we can obtain the corresponding y-coordinates.
Two equations yield the value of y. The first equation involves adding the square root of 17 to 5 and dividing the sum by 2. The second equation involves subtracting the square root of 17 from 5 and dividing the difference by 2 to obtain y.
What are the coordinates of the x-intercept of the function?
f(x)=6+ 10/x−2
Enter your answer by filling in the boxes. Enter any fractions in simplest form.
Answer:
x = -5/2
Step-by-step explanation:
The directed line segment PR is divided by point Q (0,-1) in a ratio of 4:3. point P (-8,-9)
Draw segment QR, where point R is the endpoint of segment PR.
The coordinates of R(x₂, y₂) is (6,5)
Given, the directed line segment PR is divided by point Q (0,-1) in a ratio of 4:3. point P (-8,-9)
We know the formula for section formula here
Q(x, y) = ((x₂m + x₁n)/(m + n), (y₂m + y₁n)/(m + n))
Here, (x₁, y₁) = (-8, -9)
(x,y) = (0,-1)
we have to find (x₂, y₂)
(0, -1) = ((4x₂ + (- 24))/(4+3) , (4y₂ + (- 27))/(3+4))
(0, -1) = ((4x₂ - 24)/7 , (4y₂ - 27)/7)
(4x₂ - 24)/7 = 0
4x₂ - 24 =0
4x₂ = 24
x₂ = 6
(4y₂ - 27)/7 = -1
4y₂ - 27 = -7
4y₂ = 20
y₂ = 5
Therefore, the coordinates of R(x₂, y₂) is (6,5)
Learn more about section formula here
https://brainly.com/question/28822588
#SPJ1
Please solve it asap
The value of the algebraic expression x³ · (x³ - 18) is approximately - 1. (Right choice: D)
How to find the result of an algebraic expression
In this problem we need to determine the value of an algebraic expression, this can be found by algebra properties. First, write the entire expression:
x³ · (x³ - 18)
Second, clear x in the other expression:
x · (x - 3) = - 1
x² - 3 · x = - 1
x² - 3 · x + 1 = 0
x = 1.5 ± 0.5√5
Fourth, substitute in the equation of the first step:
(1.5 ± 0.5√5)³ · [(1.5 ± 0.5√5)³ - 18]
(3.375 ± 7.546 + 5.625 ± 1.398) · [(3.375 ± 7.546 + 5.625 ± 1.398) - 18]
(9 ± 8.944) · (- 9 ± 8.944)
(± 8.944)² - 9²
- 1.005
To learn more on cubic equations: https://brainly.com/question/31397959
#SPJ1
Is it a function or not a function
Answer:
function
Step-by-step explanation:
y depends on the value of x
Find the length of the missing leg in the right triangle. Round your answer to the nearest tenth if necessary.
Answer:
5
Step-by-step explanation:
Because a^2 + b^2 = c^2, that means c^2 - b^2 = a^2, therefore:
13^2 - 12^2 = b^2
169 - 144 = b^2
25 = b^2
5 = b
Brainliest? ;)
It helps a lot! (if I get 8 more, I am in the rank of Ace!)
What is the relationship between a central angle and its intercepted arc?
Answer: B. They have the same measure
Step-by-step explanation:
its intercepted arc are equal in measure. This means that arc HS is equal to 40 degrees. Notice that arc HS is the intercepted arc of inscribed angle HMS.
PLEASE ANSWER AS SOON AS POSSIBLE PLEASE I REALLY NEED HELP ON THIS QUESTION
1. Find the sum of the measures of the angles 1 through 6. Explain your reason
The sum of the measures of the angles 1 through 6 is 360 degrees
Finding the sum of the measures of the angles 1 through 6Given that
The diagrams of three triangles that intersect at a point
The sum of the measures of the angles 1 through 6 can be calculated using the theorem of angles at a point
So, we have
2 * (180 - ∠1 - ∠2 + 180 - ∠3 - ∠4 + 180 - ∠5 - ∠6) = 360
Divide through by 2
So, we have
180 - ∠1 - ∠2 + 180 - ∠3 - ∠4 + 180 - ∠5 - ∠6 = 180
Collecting the like terms, we have
∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 180 + 180 + 180 - 180
Evaluating the like terms, we have
∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 360
Hence, the solution is 360 degrees
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Melissa is able to decorate 2 cakes per hour. If she works 5 hours per day and 6 days a week, how many cakes could she decorate in 4 weeks?
Answer:
240
Step-by-step explanation:
Melissa can decorate 2 cakes per hour.
If she were to work 5 hours a day, that'd be 10 cakes, because she can decorate 2 per hour, so 2*5=10. Now take the 10 cakes and multiply it by the 6 days- You're up to 60 cakes per week. Lastly, take the 60 cakes per week and multiply *that* by 4. 60*4=240 cakes in four weeks.
Solve 4cos(4x)=2
for the smallest three positive solutions.
Give your answers accurate to at least two decimal places, as a list separated by commas.
There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure. The surface area of the largest figure is 637 in.2. What is the surface area of the middle-sized figure?
The surface area of the middle-sized figure whose largest figure is 7 inches tall is 208 in².
The length of the largest figure is 7 in
Each of the other figures is 1 inch shorter than the next larger figure.
The length of the smallest figure will be 1 in
The scale factor of the smallest figure is 1/7
Similarly,
The length of the figure in the middle will be 4 in
The scale factor of the smallest figure is 4/7
So the surface area of the middle-sized figure = 637 ×4/7 ×4/7×
The surface area of the middle-sized figure = 208 in²
To know more about surface area click here :
https://brainly.com/question/29101132
#SPJ1
Question is in photo below
Answer:
$65 × 20 × 1.035 = $1,345.50
Answer:
67.275
Step-by-step explanation:
find 3.25% of 65
than add the answer to 65
20. A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5. 5 4 A. 15 2 5 3 B. 25 3 4 2 m 2 Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins? 5 C. 40 D. 60
A reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins is: 40 times
What is the Probability of the Spinner?We are told that Each section is labeled with a number between 1 and 5.
5 is on the spinner 3 times. The spinner is divided in 12 sections.
Thus:
[tex]\dfrac{3}{12}=\dfrac{\text{x}}{100}[/tex]
[tex]\text{x}=\dfrac{25}{100}[/tex]
Now, if there are 150 spins, it means that a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins is:
[tex]\text{P(label 5)} = \huge \text(\dfrac{25}{100} \huge \text) \times 150[/tex]
[tex]\text{P(label 5)} = 37.5[/tex]
Approximating to the nearest ten gives;
[tex]\text{P(label 5)} = 40[/tex]
Read more about Probability of Spinner at: brainly.com/question/3765462
5. Suppose the statement "even numbers are divisible by 2" is true. What is the truth value of
the statement "even numbers are not divisible by 2" ?
The truth value of the statement is false
What is the truth value of the statementGiven that
The statement "even numbers are divisible by 2" is true
The above statement is a conditional statement and we can calculate the following properties for the statement
ConverseContrapositiveInverse or NegationIn this case, we are to calculate the negation of the statement
When the statement "even numbers are divisible by 2" is negated, we have
The statement "even numbers are not divisible by 2" is not true
In logic expressions,
not true means false
So, the truth value of the statement is false
Read more about logic expressions
https://brainly.com/question/14458200
#SPJ1
Ralph spends $5.25 on corn seed packets. Each packet contains 25 seeds and costs $1.75. Ralph plans to plant 5 rows of corn with the same number of seeds in each row. What is the greatest number of seeds that Ralph can plant in each row?
If someone could please help with this worksheet, i don’t understand any of it!! (also, ignore the math equation on the right. i’m not sure if i was doing it correctly..)
The expression of ages of Dana and Alex is d = 5a, the expression of ages of Dana and Elam is e - 2 = 1/2(d - 2) and Alex is 12 years old
Calculating the ages of each person in the pictureExpression of ages of Dana and Alex
Given that
Dana is five times as old as Alex
This means that
d = 5a
Where
d = Dana and a = Alex
Expression of ages of Dana and Elam
Here, we have
Two years ago, Elam was half as old as Dana
This means that
e - 2 = 1/2(d - 2)
Where
e = Elam
Calculating Alex's age from Elam's age
Here, we have
e = 31
So, we have
31 - 2 = 1/2(d - 2)
This gives
58 = d - 2
Solving for d, we have
d = 60
Recall that
d = 5a
So, we have
a = d/5
a = 60/5
Evaluate
a = 12
Hence, Alex's age is 12 years
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
Use the monthly payment on a loan table to answer the following question.
Kaden buys a car worth $45,300, makes a down payment of $4,500, and requires a loan for the balance of the car purchase. The dealership offers financing at 4.75% compound monthly, for a term of 4 years, playable monthly.
What is Kaden’s monthy payment?
1. $1,038.28
2. $935.14
3. $1,218.29
4. $920.17
HELP ASAP!!!!
Kaden's payment is therefore around $920.17 every month.
What is payment?Payment, in the dictionary's definition, is "the action or process of paying someone or something or of being paid." It can also mean "something given as a reward .
We may use the formula for calculating monthly payments on a loan 7 to determine Kaden's monthly payment:
PMT is equal to (PV x r) / (1 - (1 + r)(-n)).
```
where:
Monthly Payment = PMT
PV stands for present value (loan amount).
- n = overall number of periods - r = interest rate per period
The following is the calculation we can use to determine Kaden's monthly payment:
PMT = (PV x r) / (1 - (1 + r)(-n)
= ($45,300 - $4,500) x (0.0475 / 12) / (1 - (1 + 0.0475 / 12)(-4 x 12)
= $920.17
To know more about payment visit:
brainly.com/question/15136793
#SPJ1
Let u = <3, 3> and v = <11, 8>. Find u + V.
The sum of the given vectors is 14i+11j.
Given that are vectors u = <3, 3> and v = <11, 8> we need to find u + v,
So,
Considering the vectors, a and b in two-dimensional,
[tex]\overrightarrow{a} = x_1i+y_1j\\\overrightarrow{b} = x_2i+y_2j\\[/tex]
The following step is used to find out the vector sum of a and b;
i-component of the vector a is added with the i-component of the vector b,
j-component of the vector a is added with the j-component of the vector b,
Therefore, the sum is =
[tex]\overrightarrow{a}+\overrightarrow{b} = (x_1+x_2)i +(y_1+y_2)j[/tex]
Here,
[tex]\overrightarrow{u} = 3i+3j\\\\\overrightarrow{v} = 11i+8j[/tex]
The sum =
[tex]\overrightarrow{u}+ \overrightarrow{v} =(3i+3j)+(11i+8j)\\\\= (3+11)i + (3+8)j\\\\= 14i+11j[/tex]
Hence the sum of the given vectors is 14i+11j.
Learn more about vectors click;
https://brainly.com/question/29740341
#SPJ1
Suppose that incoming calls per hour to a customer service center at a small credit union are uniformly distributed between zero and six calls. The probability that fewer than three calls are received per hour is.
Since the incoming calls per hour to the customer service center are uniformly distributed between zero and six calls, the probability density function (PDF) is:
f(x) = 1/6, 0 ≤ x ≤ 6
where x is the number of calls per hour.
To find the probability that fewer than three calls are received per hour, we need to calculate the area under the PDF curve between zero and three calls:
P(X < 3) = ∫[0,3] f(x) dx
= ∫[0,3] (1/6) dx
= (1/6) * [x]_0^3
= (1/6) * (3 - 0)
= 1/2
Therefore, the probability that fewer than three calls are received per hour is 1/2 or 0.5.
72:12 ratios simplified
Answer:
6 : 1Step-by-step explanation:
72:12 ratios simplified
ratio = fraction = division
72 : 12 divide both side by 12
6 : 1
divide 615 ratio 3:5:7
Answer:
3x + 5x + 7x = 615
15x = 615
x = 41
So we have 123:205:287.
A can of Feed Me baby formula costs $22.00 and has a unit price of $1.59 per ounce.
A can of Happy Time baby formula costs $11.00 and has a unit price of $2.31 per
ouce.
Which baby formula, if both are considered equal, is the better deal?
Feed Me
Happy Time
Neither FeedMe nor Happy Time is a better deal over the other.
Based on the unit prices of the cans of Feed Me and Happy Time baby formulas, A) Feed Me is considered a better deal.
What is the unit price?The unit price refers to the price per unit or the unit rate.
The unit price is computed as the quotient of the total price divided by the number of units (measurement).
Feed Me Happy Time
Cost $22.00 $11.00
Unit price $1.59 $2.31
Ounces 13.84 4.76 ($11.00 ÷ $2.31)
Thus, based on their unit rates, Feed Me has more quantity (ounces) than Happy Time and Option A is correct.
Learn more about the unit rates or prices at https://brainly.com/question/4895463.
#SPJ1
Aaron had twice as many stamps as Howard. After Howard had used up 15 stamps, Aaron had 4 times as many stamps as Howard. How many stamps did Aaron have?
Answer: 60 stamps
Step-by-step explanation:
a=2h
a=4(h-15)
2h=4(h-15)
h=2(h-15)
h=2h-30
-h=-30
h=30
a=2h
a=2*30
a=60 stamps
Anwar selects a playing card at random from the following 6 cards:
{9 of hearts, 5 of spades, 6 of hearts, 2 of spades, 4 of hearts, 7 of hearts}
Let A be the event that Anwar selects an even-numbered card and B be
the event that she chooses a heart.
Which
of the following statements are true?
at apply:
Choose all answers that a
P(A|B) = P(A), the conditional probability that Anwar selects
an even-numbered card given that she has chosen a heart is equal to
the probability that Anwar selects an even-numbered card.
P(BA) = P(B), the conditional probability that Anwar selects
a heart given that she has chosen an even-numbered card is equal to
the probability that Anwar selects a heart.
Events A and B are independent events.
The outcome of events A and B are dependent on each other.
P(A and B)=P(A) - P(B). the probability that Anwar selects
a card that is even-numbered and a heart is equal to the probability
that Anwar selects an even-numbered card multiplied by the
probability that she selects a heart.
Show Calculator
The true statements are as follows:
P(A|B) = P(A), the conditional probability that Anwar selects an even-numbered card given that she has chosen a heart is equal to the probability that Anwar selects an even-numbered card.P(B|A) = P(B), the conditional probability that Anwar selects a heart given that she has chosen an even-numbered card is equal to the probability that Anwar selects a heart.Events A and B are independent events.The outcome of events A and B are dependent on each other.What are conditional probabilities?Conditional probability is the probability of an event or outcome occurring given that a prior event or outcome has occurred.
It is determined by multiplying the likelihood of the earlier occurrence by the increased likelihood of the later, or conditional, event.
Considering the last option:
P(A and B) = P(A) * P(B).
P(A and B) = 1/6,P(A) = 3/6P(B) = 3/6.P(A and B) = (3/6) * (3/6)
P(A and B) = 1/12,
P(A) - P(B) = 3/6 - 3/6
P(A) - P(B) = 0
Hence, P(A and B) ≠ P(A) * P(B).
Learn more about conditional probabilities at: https://brainly.com/question/28339868
#SPJ1
PLS HELP 20 points !!!
For the expression (3w²)/(w⁴) the simplified-value is 3/w², the correct option is (c).
The "Simplified-Expression" refers to an algebraic expression that has been reduced to its most basic and concise form, without changing the value of the expression.
The simplified expression is the most reduced-form, and it has the same value as the original expression.
We have to simplify the expression (3w²)/(w⁴),
We can rewrite w⁴ as (w²)², which means that we can cancel one of the w² terms in the numerator and denominator.
This gives us : (3w²)/(w⁴) = (3/1) × (w²/(w²)²) = 3/w²
Therefore, the simplified value of is (c) 3/w².
Learn more about Expression here
https://brainly.com/question/24020271
#SPJ1
Find four geometric means between 5 and 1215.
The four geometric means between 5 and 1215 are 15, 45, 135, and 405. Option C
How to find the four geometric means between 5 and 1215To find four geometric means between 5 and 1215,
We should find the common ratio between the numbers,
5 * r * r * r * r = 1215
Dividing both sides by 5, we get:
r * r * r * r = 243
Taking the fourth root of both sides, we get:
r = 3
Now that we have the common ratio,
we can find the geometric means by multiplying 5 by powers of 3. The four geometric means are:
5 * 3 = 15
5 * 3 * 3 = 45
5 * 3 * 3 * 3 = 135
5 * 3 * 3 * 3 * 3 = 405
Therefore, the four geometric means between 5 and 1215 are 15, 45, 135, and 405.
Learn more about geometric means at https://brainly.com/question/3336179
#SPJ1
which statement about the quotient of 425.378 / 10 the power of 3 is true?
A. the decimal point is located to the left of the 4
B. the decimal point is located to the right of the 8
C. The decimal point is located between the 3 and the 7
D. The decimal point is located between the 4 and the 2
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 30 inches, and the length of the base is 15 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Please help asp and don't just put random answers please
The required triangle's perimeter is 33.9 inches.
Let use the Pythagorean theorem to find the length of each leg of the right triangle formed by the altitude and one of the congruent triangles:
a² + b² = c²
where c is the length of the hypotenuse, which is also one of the legs of the isosceles triangle.
Since the isosceles triangle is symmetrical, each leg of the right triangle is half the length of the base or 15/4 inches.
We can substitute this into the Pythagorean theorem to get:
(15/4)² + 30² = c²
225/16 + 900 = c²
1425/16 = c²
c = √(1425/16)
c ≈ 9.44 inches
Since the isosceles triangle has two congruent legs, each leg has a length of 9.44 inches.
Therefore, the perimeter of the triangle is:
P = 2(9.44) + 15
P ≈ 33.88 inches
Rounded to the nearest tenth of an inch, the triangle's perimeter is 33.9 inches.
Learn more about the perimeter of a triangle here:
https://brainly.com/question/29507476
#SPJ1
‼️WILL MARK BRAINLIEST IF HELPFUL‼️
Answer:
Step-by-step explanation:
The price of a technology stock was $9.53 yesterday. Today, the price rose to $9.62. Find the percentage increase. Round your answer to the nearest tenth of a percent.
To find the percentage increase, first find the difference between the two prices:
$9.62 - $9.53 = $0.09
Then, divide the difference by the original price:
$0.09 ÷ $9.53 = 0.0094
Finally, multiply by 100 to convert to a percentage and round to the nearest tenth of a percent:
0.0094 × 100 ≈ 0.9%
Therefore, the percentage increase is approximately 0.9%.
